# Recovering differential operators with nonlocal boundary conditions

Research paper by Vjacheslav Anatoljevich Yurko, Chuan-;Fu Yang

Indexed on: 01 Oct '16Published on: 01 Dec '16Published in: Analysis and Mathematical Physics

#### Abstract

Abstract Inverse spectral problems for Sturm–Liouville operators with nonlocal boundary conditions are studied. As the main spectral characteristics we introduce the so-called Weyl-type function and two spectra, which are generalizations of the well-known Weyl function and Borg’s inverse problem for the classical Sturm–Liouville operator. Two uniqueness theorems of inverse problems from the Weyl-type function and two spectra are presented and proved, respectively.AbstractInverse spectral problems for Sturm–Liouville operators with nonlocal boundary conditions are studied. As the main spectral characteristics we introduce the so-called Weyl-type function and two spectra, which are generalizations of the well-known Weyl function and Borg’s inverse problem for the classical Sturm–Liouville operator. Two uniqueness theorems of inverse problems from the Weyl-type function and two spectra are presented and proved, respectively.